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EM
2010
121views Management» more  EM 2010»
13 years 5 months ago
Self-Intersection Numbers of Curves on the Punctured Torus
On the punctured torus the number of essential self-intersections of a homotopy class of closed curves is bounded (sharply) by a quadratic function of its combinatorial length (th...
Moira Chas, Anthony Phillips
EM
2010
155views Management» more  EM 2010»
13 years 5 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...
EM
2010
134views Management» more  EM 2010»
13 years 5 months ago
High-Accuracy Semidefinite Programming Bounds for Kissing Numbers
Abstract. The kissing number in n-dimensional Euclidean space is the maximal number of non-overlapping unit spheres which simultaneously can touch a central unit sphere. Bachoc and...
Hans D. Mittelmann, Frank Vallentin
EM
2010
136views Management» more  EM 2010»
13 years 5 months ago
Minimal Permutation Representations of Nilpotent Groups
Ben Elias, Lior Silberman, Ramin Takloo-Bighash